Theme Essential Question: How can you use numerical and algebraic expressions, equations, and inequalities to solve real life mathematical problems?
Essential Questions:
Can students use models to solve multiplication equations?
Can students use algebra to solve multiplication and division equations?
Can students use the strategy solve a simplier problem to solve equations involving fractions?
Standards
6.EE.7Solve real-world and mathematical problems by writing and solving equations of the form x+p=q and px=q for cases in which p,q and x are all nonnegative rational numbers.
Objectives
Students will use models to solve multiplication equations.
Students will use algebra to solve multiplication and dividion equations.
Students will solve equations involving fractions by using the strategy solve a simplier problem.
Reflections and/or Comments from your PCSSD 6th Grade Curriculum Team (Taken from Ohio Department of Education Teaching)
The process of translating between mathematical phrases and symbolic notation will also assist students in the writing of equations/inequalities for a situation. This process should go both ways; Students should be able to write a mathematical phrase for an equation. Additionally, the writing of equations from a situation or story does not come naturally for many students. A strategy for assisting with this is to give students an equation and ask them to come up with the situation/story that the equation could be referencing. Background Information Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Vocabulary
Math
division property of equality multiplication property of equality
Solve Multiplication and Division Equations Lesson 64 p127-128
Problem Solving-Equations with Fractions Lesson 65 p129-130
Mastering the Common Core ABC
9.2 p112
9.6 p116 only at this time
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8
Equations, Equations, Equations p44 Multiplication and Division
Gizmos
None at this time
JBHM
6th GP2, Unit 1 SBIL-4 Multiplication and Division
Glenco
6th 9-4
7th 1-5, 1-6, 4-3
Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.
Tasks that illustrate content standard 6.EE.7:
Grade: 6 Unit: 3 Week: 8 Dates: 1/14-1/18
Content: Solving Equations-Multiplication, Division, & Multi-step
Theme Essential Question:
How can you use numerical and algebraic expressions, equations, and inequalities to solve real life mathematical problems?
Essential Questions:
Standards
Objectives
Reflections and/or Comments from your PCSSD 6th Grade Curriculum Team
(Taken from Ohio Department of Education Teaching)
The process of translating between mathematical phrases and symbolic notation will also assist students in the writing of equations/inequalities for a situation. This process should go both ways; Students should be able to write a mathematical phrase for an equation. Additionally, the writing of equations from a situation or story does not come naturally for many students. A strategy for assisting with this is to give students an equation and ask them to come up with the situation/story that the equation could be referencing.
Background Information
Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials.
Assessment
Product
Key Questions
Observable Student Behaviors
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
multiplication property of equality
Suggested Activities
On Core Mathematics
- Investigate-Model Solve Multiplication Equations Lesson 63 p125-126
- Solve Multiplication and Division Equations Lesson 64 p127-128
- Problem Solving-Equations with Fractions Lesson 65 p129-130
Mastering the Common Core ABC- 9.2 p112
- 9.6 p116 only at this time
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8- Equations, Equations, Equations p44 Multiplication and Division
Gizmos- None at this time
JBHM- 6th GP2, Unit 1 SBIL-4 Multiplication and Division
Glenco- 6th 9-4
- 7th 1-5, 1-6, 4-3
Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.Tasks that illustrate content standard 6.EE.7:
- No new ones at this time
Diverse LearnersHomework
Terminology for Teachers
Ethnicity/Culture | Immigration/Migration | Intercultural Competence | Socialization | Racism/Discrimination
High Yield Strategies
Similarities/Differences | Summarizing/Notetaking | Reinforcing/Recognition | Homework/Practice |
Non-Linguistic representation | Cooperative Learning | Objectives/Feedback |
Generating-Testing Hypothesis | Cues, Questions, Organizers
Resources
Professional Texts
Literary Texts
Informational Texts
Art, Music, and Media
Manipulatives
Games
Videos
Websites
Sight Words
SMART Board Lessons, Promethean Lessons
Other Activities, etc.
Language
Arts
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
6 Matrix
6 PAP Matrix
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Home K-2
Home 3-6
Home 6-8
Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6